A model of interband radiative transition

Jaroslav Dittrich Pavel Exner Masao Hirokawa

TBD mathscidoc:1910.43253

Journal of the Mathematical Society of Japan, 56, (3), 753-786, 2004
We consider a simple model which is a caricature of a crystal interacting with a radiation field. The model has two bands of continuous spectrum and the particle can pass from the upper one to the lower by radiating a photon, the coupling between the excited and deexcited states being of a Friedrichs type. Under suitable regularity and analyticity assumptions we find the continued resolvent and show that for weak enough coupling it has a curve-type singularity in the lower halfplane which is a deformation of the upper-band spectral cut. We then find a formula for the decay amplitude and show that for a fixed energy it is approximately exponential at intermediate times, while the tail has a power-like behaviour.
No keywords uploaded!
[ Download ] [ 2019-10-20 13:48:09 uploaded by Pavel_Exner ] [ 366 downloads ] [ 0 comments ]
@inproceedings{jaroslav2004a,
  title={A model of interband radiative transition},
  author={Jaroslav Dittrich, Pavel Exner, and Masao Hirokawa},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020134810130701782},
  booktitle={Journal of the Mathematical Society of Japan},
  volume={56},
  number={3},
  pages={753-786},
  year={2004},
}
Jaroslav Dittrich, Pavel Exner, and Masao Hirokawa. A model of interband radiative transition. 2004. Vol. 56. In Journal of the Mathematical Society of Japan. pp.753-786. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020134810130701782.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved